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Chapter 11: Q11. (page 431)

Find the area of each figure:

An isosceles right triangle with hypotenuse 8

Short Answer

Expert verified

The area of given figure is 16 square units.

Step by step solution

01

Step 1. Analyze the given information.

Hypotenuse of triangle is given h=8

Since isosceles triangles have two sides equal.

Let the common sides be x

Then, the sides of triangle arex,x,8x,x,8

02

Step 2. Find the height of triangle.

We can use Pythagoras theorem.

Pythagorean Theorem define that in a right angle triangle, the square of the hypotenuse is equal to the sum of squares of other sides.

82=x2+x2

2x2=64

x2=32

x=42

Then,P=B=42

03

Step 3. Concept used.

Area of triangle can be found using the formula

A=12bh

Where,

b= Base of a triangle and h= Height of a triangle

04

Step 4. Find the area of given figure.

A=12bh

=12脳42脳42

=22脳42

=16 Square units.

Therefore, the area of given figure is16 square units.

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